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Supplement Trapezoid Midsegment - MrLarkins.com

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<strong>Supplement</strong> Name ________________<br />

<strong>Trapezoid</strong> <strong>Midsegment</strong> Period___________<br />

For the following trapezoids, use the midsegment theorem to solve.<br />

Drawings are not to scale.<br />

Geometry Unit 9 Worksheet 4<br />

base 1 + base2<br />

2<br />

1. MD=___________ 2. TR=_________<br />

x R<br />

T M<br />

T<br />

R<br />

D<br />

28 x 16<br />

P<br />

D<br />

A<br />

3.<br />

T<br />

2x – 3 R<br />

x=_________ 4.<br />

TR=_________<br />

D PA=_________<br />

P<br />

10 A<br />

D<br />

x=________<br />

TR=________<br />

MD=_______<br />

M<br />

33<br />

M 20x + 4<br />

P<br />

5. x=________ 6. x x=__________<br />

T R<br />

TR=________ TR=_________<br />

2 – 5x<br />

T<br />

–5x R<br />

M<br />

P<br />

3x + 9<br />

12<br />

x 2<br />

A<br />

D<br />

A<br />

M<br />

P<br />

T<br />

PA=________ PA=_________<br />

10<br />

M D<br />

P<br />

19<br />

–4x + 10<br />

36<br />

24x + 6<br />

A<br />

R<br />

A


7. Show all work<br />

Find the midpoint of the non-parallel sides<br />

Label the midpoints G (___, ___) & H (___, ___)<br />

Draw the midsegment<br />

Use the distance formula to prove the midsegment theorem<br />

TR = ________ GH = ________ PA = _________<br />

Geometry Unit 9 Worksheet 4<br />

T<br />

R<br />

P<br />

y<br />

A<br />

x

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